C -uniform distribution of entire functions

Michael Drmota; Robert F. Tichy

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 49-58
  • ISSN: 0041-8994

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Drmota, Michael, and Tichy, Robert F.. "$C$-uniform distribution of entire functions." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 49-58. <http://eudml.org/doc/108106>.

@article{Drmota1988,
author = {Drmota, Michael, Tichy, Robert F.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {C-uniform distribution; discrepancy; Erdős-Turan inequality; growth conditions; two-dimensional flows; entire function},
language = {eng},
pages = {49-58},
publisher = {Seminario Matematico of the University of Padua},
title = {$C$-uniform distribution of entire functions},
url = {http://eudml.org/doc/108106},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Drmota, Michael
AU - Tichy, Robert F.
TI - $C$-uniform distribution of entire functions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 49
EP - 58
LA - eng
KW - C-uniform distribution; discrepancy; Erdős-Turan inequality; growth conditions; two-dimensional flows; entire function
UR - http://eudml.org/doc/108106
ER -

References

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  1. [1] R.C. Baker, Entire Functions and UniformDistribution Modulo 1, Proc. London Math. Soc., (3) 49 (1984), pp. 87-110. Zbl0508.10023MR743372
  2. [2] R.C. Baker, On the Values of Entire Functions at the Positive Integers, Monatsh. Math., 102 (1986), pp. 179-182. Zbl0597.10035MR844580
  3. [3] R.P. Boas, Entire Functions, Academic Press, New York, 1954. Zbl0058.30201MR68627
  4. [4] E. Hlawka, Über C-Gleichverteilung, Ann. Mat. Pura Appl., (IV) 49 (1960), pp. 311-326. Zbl0091.04703MR117214
  5. [5] E. Hlawka, Theorie der Gleichverteilung, B.I., Mannheim-Wien-Zürich, 1979. Zbl0406.10001MR542905
  6. [6] L. Kuipers - H. NIEDERREITER, Uniform Distribution of Sequences, John Wiley & Sons, New York, 1974. Zbl0281.10001MR419394
  7. [7] G. Rauzy, Fonctions entières et répartition modulo un, II, Bull. Soc. Math. France, 101 (1973), pp. 185-192. Zbl0269.10029MR342483
  8. [8] G. Rhin, Répartition modulo 1 de f(pn) quand f est une série entière, Répartition modulo 1, Lecture Notes in Mathematics, Springer, Berlin, 475 (1975), pp. 176-244. Zbl0305.10046MR392857
  9. [9] R.J. Taschner, Funktionentheorie, Manz- Verlag, Wien, 1983. Zbl0506.30001
  10. [10] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann., 77 (1916), pp. 313-352. Zbl46.0278.06MR1511862JFM46.0278.06

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